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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software ModuleIan.Hollidayrwasp_One Factor ANOVA.wasp
Title produced by softwareOne-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)
Date of computationTue, 30 Nov 2010 14:54:31 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t1291128789a95ypi1s6h2an46.htm/, Retrieved Mon, 29 Apr 2024 10:12:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103563, Retrieved Mon, 29 Apr 2024 10:12:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA wit...] [2009-11-29 13:09:19] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   PD  [Chi Square Measure of Association- Free Statistics Software (Calculator)] [One Way ANOVA for...] [2009-12-01 13:05:10] [3fdd735c61ad38cbc9b3393dc997cdb7]
- R P     [Chi Square Measure of Association- Free Statistics Software (Calculator)] [CARE date with Tu...] [2009-12-01 18:33:48] [98fd0e87c3eb04e0cc2efde01dbafab6]
-   P       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [CARE Data with Tu...] [2010-11-23 12:09:38] [3fdd735c61ad38cbc9b3393dc997cdb7]
-   PD        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-29 14:04:48] [74be16979710d4c4e7c6647856088456]
-   P           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-29 14:32:01] [74be16979710d4c4e7c6647856088456]
-   PD            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-29 14:58:36] [74be16979710d4c4e7c6647856088456]
-                     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [] [2010-11-30 14:54:31] [e745a3f69ffea5e0e6fd3319d0ff44ad] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1	1	5	44	68
1	1	9	30	84
3	1	6	46	81
3	1	10	58	101
2	1	5	52	91
2	1	3	44	88
2	1	5	55	70
3	1	8	41	87
2	1	4	39	80
1	1	3	39	79
3	1	7	57	102
3	1	9	54	97
3	1	9	60	97
3	1	6	59	96
1	1	7	44	85
1	1	8	56	102
3	1	5	36	68
3	1	7	32	73
3	1	9	60	86
2	1	8	48	90
3	1	5	39	70
3	1	9	37	72
1	1	8	31	75
2	1	9	48	78
3	1	7	55	92
2	1	8	43	90
3	1	4	51	96
1	1	9	48	78
1	1	9	54	85
2	1	8	57	97
1	1	9	30	75
3	1	9	41	86
2	1	6	52	90
1	1	8	46	95
3	1	7	41	77
2	1	7	55	95
3	1	5	39	112
3	1	8	43	86
2	1	6	46	77
2	1	7	44	75
2	1	6	49	95
3	1	6	62	101
2	1	7	55	86
1	1	4	50	87
3	1	8	45	77
3	1	8	46	95
3	1	7	44	79
2	1	3	34	90
3	1	5	56	96
1	1	8	59	90
3	1	8	50	95
3	1	9	50	97
2	2	8	48	97
3	2	7	46	97
3	2	8	59	97
1	2	7	54	107
3	2	8	44	101
1	2	8	50	94
1	2	7	43	77
2	2	7	39	80
1	2	5	42	80
1	2	9	52	97
3	2	8	41	90
3	2	8	46	95
3	2	10	57	95
3	2	7	43	86
3	2	8	52	97
2	2	7	57	100
3	2	8	59	100
1	2	6	41	70
1	2	10	50	87
3	2	6	50	88
3	2	8	41	68
2	2	9	48	75
3	2	6	48	98
3	2	8	37	87
3	2	7	55	86
3	2	7	44	86
2	2	5	30	94
1	2	4	44	101
2	2	6	54	92
2	2	9	55	97
1	2	8	59	103
3	2	4	48	85
3	2	8	59	115
3	2	7	37	90
3	2	5	39	86
2	2	5	48	87
1	2	6	36	88
3	2	8	56	94
2	2	7	54	97
1	2	9	52	82
1	2	8	66	98
3	2	8	55	94
3	2	9	60	98
3	2	9	52	98
1	2	6	36	94
3	2	8	32	68
3	2	9	34	92
3	2	9	36	85
2	2	3	56	98
3	2	8	50	96
2	2	7	39	79
3	2	7	52	92
2	2	6	44	75
3	2	8	46	106
3	2	7	44	95
3	2	7	41	90
2	2	8	56	100
3	2	6	54	97
1	2	9	50	84
1	2	4	52	94
2	2	8	55	91
2	2	7	62	95
3	2	10	52	92
3	2	8	57	94
2	2	6	30	78
2	2	6	39	91
3	2	8	34	86
2	2	7	37	87
2	2	8	58	95
3	2	10	46	101
3	2	9	46	94
3	2	9	52	90
2	2	10	50	106
1	3	8	37	95
2	3	6	52	88
2	3	9	54	107
3	3	9	60	92
1	3	9	56	87
3	3	7	43	109
3	3	7	41	88
2	3	9	55	111
2	3	8	46	102
3	3	8	39	103
2	3	7	48	108
3	3	6	39	91
1	3	10	54	101
3	3	8	48	90
1	3	9	62	96
1	3	9	50	101
3	3	9	56	88
1	3	9	66	109
3	3	10	66	115
2	3	9	52	111
1	3	10	59	115
1	3	9	50	115
2	3	9	50	91
3	3	8	66	107
3	3	7	58	111
3	3	6	43	88

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103563&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103563&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103563&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






ANOVA Model
WISCRY7V ~ MVRBIQ0
means86.8084.68513.923

\begin{tabular}{lllllllll}
\hline
ANOVA Model \tabularnewline
WISCRY7V  ~  MVRBIQ0 \tabularnewline
means & 86.808 & 4.685 & 13.923 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103563&T=1

[TABLE]
[ROW][C]ANOVA Model[/C][/ROW]
[ROW][C]WISCRY7V  ~  MVRBIQ0[/C][/ROW]
[ROW][C]means[/C][C]86.808[/C][C]4.685[/C][C]13.923[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103563&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103563&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Model
WISCRY7V ~ MVRBIQ0
means86.8084.68513.923






ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVRBIQ023360.1771680.08918.1770
Residuals14813679.43992.429 

\begin{tabular}{lllllllll}
\hline
ANOVA Statistics \tabularnewline
  & Df & Sum Sq & Mean Sq & F value & Pr(>F) \tabularnewline
MVRBIQ0 & 2 & 3360.177 & 1680.089 & 18.177 & 0 \tabularnewline
Residuals & 148 & 13679.439 & 92.429 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103563&T=2

[TABLE]
[ROW][C]ANOVA Statistics[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]Sum Sq[/C][C]Mean Sq[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]MVRBIQ0[/C][C]2[/C][C]3360.177[/C][C]1680.089[/C][C]18.177[/C][C]0[/C][/ROW]
[ROW][C]Residuals[/C][C]148[/C][C]13679.439[/C][C]92.429[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103563&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103563&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ANOVA Statistics
DfSum SqMean SqF valuePr(>F)
MVRBIQ023360.1771680.08918.1770
Residuals14813679.43992.429






Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-14.6850.5558.8160.022
3-113.9238.45619.390
3-29.2384.03914.4360

\begin{tabular}{lllllllll}
\hline
Tukey Honest Significant Difference Comparisons \tabularnewline
  & diff & lwr & upr & p adj \tabularnewline
2-1 & 4.685 & 0.555 & 8.816 & 0.022 \tabularnewline
3-1 & 13.923 & 8.456 & 19.39 & 0 \tabularnewline
3-2 & 9.238 & 4.039 & 14.436 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103563&T=3

[TABLE]
[ROW][C]Tukey Honest Significant Difference Comparisons[/C][/ROW]
[ROW][C] [/C][C]diff[/C][C]lwr[/C][C]upr[/C][C]p adj[/C][/ROW]
[ROW][C]2-1[/C][C]4.685[/C][C]0.555[/C][C]8.816[/C][C]0.022[/C][/ROW]
[ROW][C]3-1[/C][C]13.923[/C][C]8.456[/C][C]19.39[/C][C]0[/C][/ROW]
[ROW][C]3-2[/C][C]9.238[/C][C]4.039[/C][C]14.436[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103563&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103563&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tukey Honest Significant Difference Comparisons
difflwruprp adj
2-14.6850.5558.8160.022
3-113.9238.45619.390
3-29.2384.03914.4360






Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group21.6920.188
148 

\begin{tabular}{lllllllll}
\hline
Levenes Test for Homogeneity of Variance \tabularnewline
  & Df & F value & Pr(>F) \tabularnewline
Group & 2 & 1.692 & 0.188 \tabularnewline
  & 148 &   &   \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=103563&T=4

[TABLE]
[ROW][C]Levenes Test for Homogeneity of Variance[/C][/ROW]
[ROW][C] [/C][C]Df[/C][C]F value[/C][C]Pr(>F)[/C][/ROW]
[ROW][C]Group[/C][C]2[/C][C]1.692[/C][C]0.188[/C][/ROW]
[ROW][C] [/C][C]148[/C][C] [/C][C] [/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=103563&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103563&T=4

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Levenes Test for Homogeneity of Variance
DfF valuePr(>F)
Group21.6920.188
148


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 5 ; par2 = 2 ; par3 = TRUE ;
Parameters (R input):
par1 = 5 ; par2 = 2 ; par3 = TRUE ; par4 = ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
R code (references can be found in the software module):
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
intercept<-as.logical(par3)
x <- t(x)
x1<-as.numeric(x[,cat1])
f1<-as.character(x[,cat2])
xdf<-data.frame(x1,f1)
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
names(xdf)<-c('Response', 'Treatment')
if(intercept == FALSE) (lmxdf<-lm(Response ~ Treatment - 1, data = xdf) ) else (lmxdf<-lm(Response ~ Treatment, data = xdf) )
(aov.xdf<-aov(lmxdf) )
(anova.xdf<-anova(lmxdf) )
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Model', length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, paste(V1, ' ~ ', V2), length(lmxdf$coefficients)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'means',,TRUE)
for(i in 1:length(lmxdf$coefficients)){
a<-table.element(a, round(lmxdf$coefficients[i], digits=3),,FALSE)
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ANOVA Statistics', 5+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ',,TRUE)
a<-table.element(a, 'Df',,FALSE)
a<-table.element(a, 'Sum Sq',,FALSE)
a<-table.element(a, 'Mean Sq',,FALSE)
a<-table.element(a, 'F value',,FALSE)
a<-table.element(a, 'Pr(>F)',,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, V2,,TRUE)
a<-table.element(a, anova.xdf$Df[1],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'F value'[1], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Pr(>F)'[1], digits=3),,FALSE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, 'Residuals',,TRUE)
a<-table.element(a, anova.xdf$Df[2],,FALSE)
a<-table.element(a, round(anova.xdf$'Sum Sq'[2], digits=3),,FALSE)
a<-table.element(a, round(anova.xdf$'Mean Sq'[2], digits=3),,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.element(a, ' ',,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
bitmap(file='anovaplot.png')
boxplot(Response ~ Treatment, data=xdf, xlab=V2, ylab=V1)
dev.off()
if(intercept==TRUE){
thsd<-TukeyHSD(aov.xdf)
bitmap(file='TukeyHSDPlot.png')
plot(thsd)
dev.off()
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tukey Honest Significant Difference Comparisons', 5,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1, TRUE)
for(i in 1:4){
a<-table.element(a,colnames(thsd[[1]])[i], 1, TRUE)
}
a<-table.row.end(a)
for(i in 1:length(rownames(thsd[[1]]))){
a<-table.row.start(a)
a<-table.element(a,rownames(thsd[[1]])[i], 1, TRUE)
for(j in 1:4){
a<-table.element(a,round(thsd[[1]][i,j], digits=3), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
if(intercept==FALSE){
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'TukeyHSD Message', 1,TRUE)
a<-table.row.end(a)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Must Include Intercept to use Tukey Test ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')
}
library(car)
lt.lmxdf<-levene.test(lmxdf)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Levenes Test for Homogeneity of Variance', 4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
for (i in 1:3){
a<-table.element(a,names(lt.lmxdf)[i], 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Group', 1, TRUE)
for (i in 1:3){
a<-table.element(a,round(lt.lmxdf[[i]][1], digits=3), 1, FALSE)
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,' ', 1, TRUE)
a<-table.element(a,lt.lmxdf[[1]][2], 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.element(a,' ', 1, FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable3.tab')